On primes amongst squares of naturals

2011/08/06 by Boris B. Benyaminov, Benyaminov, Boris B.
Mathematics · #11A41 #11M26 #Analytic Number Theory Research #FOS: Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1108.1466

openalex publication_date 2011/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the inequality √P_k+1-√P_k<1, k∈ℕ, discuss the existence of primes on arbitrary intervals (r,s), r

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